7x+12=2(4x-5)

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Solution for 7x+12=2(4x-5) equation:


Simplifying
7x + 12 = 2(4x + -5)

Reorder the terms:
12 + 7x = 2(4x + -5)

Reorder the terms:
12 + 7x = 2(-5 + 4x)
12 + 7x = (-5 * 2 + 4x * 2)
12 + 7x = (-10 + 8x)

Solving
12 + 7x = -10 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
12 + 7x + -8x = -10 + 8x + -8x

Combine like terms: 7x + -8x = -1x
12 + -1x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
12 + -1x = -10 + 0
12 + -1x = -10

Add '-12' to each side of the equation.
12 + -12 + -1x = -10 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -10 + -12
-1x = -10 + -12

Combine like terms: -10 + -12 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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